Shintani Cocycles on GLn
نویسنده
چکیده
The aim of this paper is to define an n− 1-cocycle σ on GLn(Q) with values in a certain space D of distributions on Af \ {0}. Here Af denotes the ring of finite adèles of Q, and the distributions take values in the Laurent series C((z1, . . . , zn)). This cocycle can be used to evaluate special values of Artin L-functions on number fields at negative integers. The construction generalizes that of Solomon [8] in the case n = 2. 2000 Mathematics Subject Classification: 11F75, 11F67.
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